8401881600 has 960 divisors, whose sum is σ = 37020487680. Its totient is φ = 1824768000.

The previous prime is 8401881599. The next prime is 8401881617. The reversal of 8401881600 is 61881048.

8401881600 is a `hidden beast` number, since 8 + 40 + 1 + 8 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×8401881600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55641525 + ... + 55641675.

It is an arithmetic number, because the mean of its divisors is an integer number (38563008).

Almost surely, 2^8401881600 is an apocalyptic number.

8401881600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8401881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18510243840).

8401881600 is an abundant number, since it is smaller than the sum of its proper divisors (28618606080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8401881600 is a wasteful number, since it uses less digits than its factorization.

8401881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8401881600 is about 91661.7782938996. The cubic root of 8401881600 is about 2032.9444841540.

The spelling of 8401881600 in words is "eight billion, four hundred one million, eight hundred eighty-one thousand, six hundred".